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  2. Crossed ladders problem - Wikipedia

    en.wikipedia.org/wiki/Crossed_ladders_problem

    The optic equation of the crossed ladders problem can be applied to folding rectangular paper into three equal parts: ⁠ 1 / 1/2 ⁠ + ⁠ 1 / 1 ⁠ = ⁠ 1 / h ⁠ ∴ 2 + 1 = ⁠ 1 / h ⁠ ∴ h = ⁠ 1 / 2 + 1 ⁠ = ⁠ 1 / 3 ⁠ One side (left in the illustration) is partially folded in half and pinched to leave a mark.

  3. Coulomb damping - Wikipedia

    en.wikipedia.org/wiki/Coulomb_damping

    Coulomb damping dissipates energy constantly because of sliding friction. The magnitude of sliding friction is a constant value; independent of surface area, displacement or position, and velocity. The system undergoing Coulomb damping is periodic or oscillating and restrained by the sliding friction.

  4. Darcy friction factor formulae - Wikipedia

    en.wikipedia.org/wiki/Darcy_friction_factor_formulae

    Serghides's solution is used to solve directly for the Darcy–Weisbach friction factor f for a full-flowing circular pipe. It is an approximation of the implicit Colebrook–White equation. It was derived using Steffensen's method. [12] The solution involves calculating three intermediate values and then substituting those values into a final ...

  5. Frictional contact mechanics - Wikipedia

    en.wikipedia.org/wiki/Frictional_contact_mechanics

    The elastic half-space problem is solved analytically, see the Boussinesq-Cerruti solution. Due to the linearity of this approach, multiple partial solutions may be super-imposed. Using the fundamental solution for the half-space, the full 3D contact problem is reduced to a 2D problem for the bodies' bounding surfaces.

  6. Moody chart - Wikipedia

    en.wikipedia.org/wiki/Moody_chart

    where is the density of the fluid, is the average velocity in the pipe, is the friction factor from the Moody chart, is the length of the pipe and is the pipe diameter. The chart plots Darcy–Weisbach friction factor f D {\displaystyle f_{D}} against Reynolds number Re for a variety of relative roughnesses, the ratio of the mean height of ...

  7. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.

  8. Friction of distance - Wikipedia

    en.wikipedia.org/wiki/Friction_of_distance

    Other problems that apply the friction of distance are much more difficult (i.e., NP-hard), such as the traveling salesman problem and cluster analysis, and automated tools to solve them (usually using heuristic algorithms such as k-means clustering) are less widely available, or only recently available, in GIS software.

  9. Langevin equation - Wikipedia

    en.wikipedia.org/wiki/Langevin_equation

    This problem disappears when the Langevin equation is written in integral form = (+ ()). Therefore, the differential form is only an abbreviation for its time integral. The general mathematical term for equations of this type is " stochastic differential equation ".

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